Question

109,74,76,25,11,?
What is next number.

Answer 1

Given:

• 109,74,76,25,11,?

To Find:

• Next number of the series.

Solution:

There is a small mistake in the given series.

Here, 46 is used in the place of 76 then we can find the right pattern.

So,

           109, 74, 46, 25, 11, ?

1. Find the difference between two numbers.
2. That difference in each number is multiple of 7.

         ⇒     109 - 74 = 35 =  7 × 5

         ⇒     74 - 46  = 28 =  7 × 4

         ⇒     46 - 25 = 21 = 7 × 3

         ⇒     25 - 11 = 14 = 7 × 2

Now, next number is

            7 × 1 = 7

            11 - 7 = 4

Thus, the series is 109,74,76,25,11,4

Answer 2

The given series are:

109, 74, 46, 25,1 1, ?

We have to fins, the value of next number (?) is:

Solution:

The pattern follow:

Previous number - (7 × 5), Previous number - (7 × 4), Previous number - (7 × 3), Previous number - (7 × 2), Previous number - (7 × 1), .....

74 = 109 - (7 × 5)

= 109 - 35 = 74

46 = 74 - (7 × 4)

= 74 - 28 = 46

25 = 46 - (7 × 3)

= 46 - 21 = 25

11 = 25 - (7 × 2)

= 25 - 14 = 11

Similarly,

? = 11 -  (7 × 1)

= 11 - 7 = 4

∴ The next number (?) = 4

Thus, the value of the "next number (?) is equal to 4".